Question

Write an exponential equation for the graph. I’m clearly doing something wrong and I’m not sure what it is.

Answer 1

Given

Graph

Find

Exponential equation for the graoh

Step-by-step explanation

Exponential equation is in the form of

`y=ab^x`

from graph, we see

when x = 0 then y = -3

and when x = -1 then y = -6

now substitute these points in equation ,

(0 , -3) and (-1 , -6)

`\begin{gathered} -3=a(b)^0 \\ a=-3 \end{gathered}`

and

`\begin{gathered} -6=-3b^(-1) \\ 2=b^(-1) \\ b=(1)/(2) \end{gathered}`

so , equation is

`y=-3((1)/(2))^x`

Final Answer

Therefore , the exponential equation for the graph is

`y=-3((1)/(2))^x`